Non-autonomous Hénon-Heiles systems
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Andrew N.W. Hone
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Article
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1998
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Elsevier Science
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English
⚖ 836 KB
Scaling similarity solutions of three integrable PDEs, namely the Sawada-Kotera, fifth order KdV and Kaup--Kupershmidt equations, are considered. It is shown that the resulting ODEs may be written as non-autonomous Hamiltonian equations, which are time-dependent generalizations of the well-known int